Bipartite polygon models: entanglement classes and their nonlocal behaviour

• URL: http://arxiv.org/abs/2205.05415v5
• Date: Mon, 13 Jan 2025 08:58:39 GMT
• Title: Bipartite polygon models: entanglement classes and their nonlocal behaviour
• Authors: Mayalakshmi Kolangatt, Thigazholi Muruganandan, Sahil Gopalkrishna Naik, Tamal Guha, Manik Banik, Sutapa Saha,
• Abstract summary: We investigate Hardy's nonlocal behavior within a broad class of operational theories, including the qubit state space.<n>Our results uncover an unexplored class of almost-quantum correlations that can be associated with an explicit operational model.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Hardy's argument constitutes an elegantly logical test for identifying nonlocal features of multipartite correlations. In this paper, we investigate Hardy's nonlocal behavior within a broad class of operational theories, including the qubit state space as a specific case. Specifically, we begin by examining a wider range of operational models with state space descriptions in the form of regular polygons. First, we present a systematic method to characterize the possible forms of entangled states within bipartite compositions of these models. Then, through explicit examples, we identify the classes of entangled states that exhibit Hardy-type nonlocality. Remarkably, our findings highlight a closer analogy between odd polygon models and the qubit state space in terms of their bipartite Hardy nonlocal behavior compared to even-sided polygons. Furthermore, we demonstrate that the emergence of mixed-state Hardy nonlocality in any operational model is determined by a specific symmetry inherent in its dynamic description. Finally, our results uncover an unexplored class of almost-quantum correlations that can be associated with an explicit operational model.

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